Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations

DOI10.1186/1029-242X-2011-29zbMath1275.26055WikidataQ59269482 ScholiaQ59269482MaRDI QIDQ352291

Bin Zheng, Qinghua Feng, Yao-Ming Zhang, Jin Chuan Zhou, Fan Wei Meng

Publication date: 4 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

time scalesbounddynamic equationdelay integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items (6)

A refinement of Sándor-Tóth's inequality ⋮ Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative ⋮ Lyapunov-type inequalities for certain higher-order difference equations with mixed non-linearities ⋮ HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS ⋮ Nonlinear integral inequalities on time scales with `maxima' ⋮ New Gronwall-Bellman type inequalities and applications in the analysis for solutions to fractional differential equations

Cites Work

• The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales
• On retarded integral inequalities and their applications
• Oscillation for nonlinear second order dynamic equations on a time scale
• Some delay integral inequalities on time scales
• Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded
• Some mean value theorems for integrals on time scales
• On some new inequalities related to a certain inequality arising in the theory of differential equations
• Explicit bounds on some new nonlinear integral inequalities with delay
• A generalization of Ostrowski inequality on time scales forkpoints
• Some new dynamic inequalities on time scales
• Integral inequalities for retarded Volterra equations
• Improvement of some Ostrowski-Grüss type inequalities

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